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Finding the Third Proportional to 2,483.72 and 5,428.83

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Solution

The third proportional to 2,483.72 and 5,428.83 is: 11,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.72 : 5,428.83 = 5,428.83 : x
  2. Step 2: Convert to fraction form
    2,483.72/5,428.83 = 5,428.83/x
  3. Step 3: Cross multiply
    2,483.72x = 5,428.83 × 5,428.83
  4. Step 4: Simplify right side
    2,483.72x = 29,472,174.81
  5. Step 5: Solve for x
    x = 29,472,174.81/2,483.72
  6. Step 6: Final answer
    x = 11,866.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.